**Title:** Soda Cans

**Description:**
This reproducible activity sheet, from an Illuminations lesson, guides students through a simulation in which they try different arrangements to make the most efficient use of space and thus pack the most soda cans into a rectangular packing box.
**Standard(s): **

[MA2015] ALC (9-12) 11: Use ratios of perimeters, areas, and volumes of similar figures to solve applied problems. (Alabama)

**Subject:**Mathematics

**Title:**Soda Cans

**Description:**This reproducible activity sheet, from an Illuminations lesson, guides students through a simulation in which they try different arrangements to make the most efficient use of space and thus pack the most soda cans into a rectangular packing box.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Chord Problem

**Description:**
This reproducible transparency, from an Illuminations lesson, contains a chord problem in which students must identify the value of Y and explain their work.
**Standard(s): **

[MA2015] GEO (9-12) 25: Identify and describe *relationships* among inscribed angles, radii, and chords. *Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.* [G-C2]

**Subject:**Mathematics

**Title:**Chord Problem

**Description:**This reproducible transparency, from an Illuminations lesson, contains a chord problem in which students must identify the value of Y and explain their work.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Power of Points

**Description:**
In this Illuminations lesson, students discover that the Chord-Chord Power theorem, the Secant-Secant Power theorem, and the Tangent-Secant Power theorem are related applications of the Power of Point theorem. Students use their discoveries to solve numerical problems. In addition, there are links to an online activity and other related resources.
**Standard(s): **

[MA2015] GEO (9-12) 25: Identify and describe *relationships* among inscribed angles, radii, and chords. *Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.* [G-C2]

**Subject:**Mathematics

**Title:**Power of Points

**Description:**In this Illuminations lesson, students discover that the Chord-Chord Power theorem, the Secant-Secant Power theorem, and the Tangent-Secant Power theorem are related applications of the Power of Point theorem. Students use their discoveries to solve numerical problems. In addition, there are links to an online activity and other related resources.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Hexagon Island

**Description:**
This student interactive, from an Illuminations lesson, allows students to explore the distances from an interior point of a hexagon to its sides and determine the sum of these perpendicular distances.
**Standard(s): **

[MA2015] GEO (9-12) 25: Identify and describe *relationships* among inscribed angles, radii, and chords. *Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.* [G-C2]

**Subject:**Mathematics

**Title:**Hexagon Island

**Description:**This student interactive, from an Illuminations lesson, allows students to explore the distances from an interior point of a hexagon to its sides and determine the sum of these perpendicular distances.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Power of a Point

**Description:**
This student interactive, from an Illuminations lesson, allows students to investigate what happens when point P is moved to various points within, on, and outside the circle. Students identify any relationships among the segments and radius.
**Standard(s): **

[MA2015] GEO (9-12) 25: Identify and describe *relationships* among inscribed angles, radii, and chords.

**Subject:**Mathematics

**Title:**Power of a Point

**Description:**This student interactive, from an Illuminations lesson, allows students to investigate what happens when point P is moved to various points within, on, and outside the circle. Students identify any relationships among the segments and radius.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Soccer Problem

**Description:**
This student interactive, from an Illuminations lesson, allows students to investigate a soccer problem by changing the location of a soccer player as well as the distance between the player and the goal posts. The angle changes as the player is moved, and students must therefore determine the player s position so that the angle is maximized.
**Standard(s): **

[MA2015] GEO (9-12) 41: Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost, working with typographic grid systems based on ratios).* [G-MG3]

**Subject:**Mathematics

**Title:**Soccer Problem

**Description:**This student interactive, from an Illuminations lesson, allows students to investigate a soccer problem by changing the location of a soccer player as well as the distance between the player and the goal posts. The angle changes as the player is moved, and students must therefore determine the player s position so that the angle is maximized.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12